Simulate by MATLAB then solve it theory.
1- Using simulations, generate a vector of normally distributed RV X with a mean mX equals 73 and standard deviation of 20% of the mean.
2-Using simulated vectors, find the probability Pr(X > 2.5mX).
3- Compare with theory. Your code should display the theoretical probability and the simulated one. Inside your simulation file use remark % to comment on the results for any discrepancies.
Hints: - For theory use qfunc( )
- Use enough vector sizes for stable results.